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186 Bailey aiul Cross <br />Hanel } - 16 per cent in specimens more than 300 mm. long. Con - <br />spicuous also is the gross variation in its size among fish of the sane <br />approximate length. If relative length of the air bladder is apprais.. rl <br />in terms of body length (Fig. 7), the overlap between the species is <br />slight. <br />Mea.virenient ratios. —In the preceding discussion we have seen <br />that there are a considerable number of measurements in which the <br />species of Scaphirh1pichus differ. With the exception of the length <br />of [lie inner bariic I, however, the differences are not so great as to he <br />nnutually exclusive. In other measurements some specimens fall in <br />an overlapping area. In attempting identification on the basis of <br />morphometric data alone, then, it is frequently- necessary- -and al- <br />wa }-s a �• ise pro-,mtion —to check several measurements. <br />.Judicious combination of two or more characters into a single <br />expression often makes possible the elimination of overlap in com- <br />paring species. This has been readily- accomplished in Seaphirhun- <br />chus through use of ratios so chosen as to combine proved difference; <br />.,Ie il urder to minimize the effect of pronounced ailo- <br />metric change the data are separated into two size classes. The <br />ratios numbered 2 and 4 in Table IV have already been mentioned. <br />Of the 9 ratios tabulated, there is no overlap (within a size class) in <br />7, and only a slight overlap occurs in 2 (numbers 7 and 9). dr''- <br />tional ratios could be used, but those given are adequate to provi - <br />a cie+ r sion of the principal inorphoinetric differences notes. <br />By plotting ratio 6 against ratio 8 it has been possible to develop a <br />visual expression of specific difference involving 4 of the most valu- <br />able contrasting measurements: head length, inner - barbel length, dis- <br />tance from snout tip to outer barbel. and height of the tenth lateral <br />plate ,F S'!• <br />Most of the significant morphometric characters in Scaphirhynchus <br />are discernible in a ventral view of the head. These are illustrated <br />in Figure 9, in which the drawings are based on mean values from <br />Tables II and III. The details of structure are from individual speci- <br />mens. Comparison with these figures and use of the ratios should <br />facilitate quick and accurate identification. <br />Other Characteoe <br />Ribs. —In their characterization of Parascaphirhynchus albtts, <br />Forbes and Richardson (1905) emphasized the number of ribs as a <br />